Metamath Proof Explorer

Theorem simp1

Description: Simplification of triple conjunction. (Contributed by NM, 21-Apr-1994) (Proof shortened by Wolf Lammen, 22-Jun-2022)

Ref Expression
Assertion simp1 
|- ( ( ph /\ ps /\ ch ) -> ph )

Proof

Step Hyp Ref Expression
1 id 
 |-  ( ph -> ph )
2 1 3ad2ant1 
 |-  ( ( ph /\ ps /\ ch ) -> ph )